
Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 4 |
| 66.7% | 50% | 25% | 0.1% | 0% | 25% | 0% | 5 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 6 |
| 80% | 50% | 12.5% | 0.1% | 0% | 37.5% | 0% | 7 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 8 |
| 88.9% | 50% | 6.2% | 0.1% | 0% | 43.7% | 0% | 9 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 10 |
| 94.1% | 50% | 3.1% | 0.1% | 0% | 46.8% | 0% | 11 |
| 97% | 50% | 1.6% | 0.1% | 0% | 48.4% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 504.0ms | 8 255× | 0 | valid |
| 12.0ms | 260× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
ival-sqrt: 129.0ms (38.8% of total)ival-sub: 91.0ms (27.3% of total)ival-mult: 58.0ms (17.4% of total)ival-add: 42.0ms (12.6% of total)ival-true: 6.0ms (1.8% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)adjust: 0.0ms (0% of total)| 1× | egg-herbie |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 212× | sub-neg |
| 180× | cancel-sign-sub-inv |
| 178× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 48 |
| 1 | 54 | 43 |
| 2 | 160 | 42 |
| 3 | 433 | 42 |
| 4 | 878 | 42 |
| 5 | 1222 | 42 |
| 6 | 1337 | 42 |
| 7 | 1357 | 42 |
| 0 | 7 | 8 |
| 1 | 15 | 8 |
| 2 | 34 | 8 |
| 3 | 61 | 8 |
| 4 | 125 | 8 |
| 5 | 243 | 8 |
| 6 | 372 | 8 |
| 7 | 420 | 8 |
| 8 | 443 | 8 |
| 0 | 443 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
| Outputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 41.0ms | 512× | 0 | valid |
Compiled 64 to 32 computations (50% saved)
ival-sqrt: 4.0ms (31.4% of total)ival-sub: 3.0ms (23.5% of total)ival-mult: 3.0ms (23.5% of total)ival-add: 2.0ms (15.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 y (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 144× | *-lowering-*.f32 |
| 144× | *-lowering-*.f64 |
| 112× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 15 | 20 |
| 2 | 34 | 20 |
| 3 | 61 | 20 |
| 4 | 125 | 20 |
| 5 | 243 | 20 |
| 6 | 372 | 20 |
| 7 | 420 | 20 |
| 8 | 443 | 20 |
| 0 | 443 | 19 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(- 1 x) |
1 |
x |
(* y (sqrt x)) |
y |
(sqrt x) |
| Outputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* y (sqrt x)) |
(*.f64 y (sqrt.f64 x)) |
y |
(sqrt x) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| ✓ | accuracy | 99.6% | (*.f64 y (sqrt.f64 x)) |
| 14.0ms | 256× | 0 | valid |
Compiled 22 to 9 computations (59.1% saved)
ival-sub: 3.0ms (40.2% of total)ival-mult: 2.0ms (26.8% of total)ival-sqrt: 2.0ms (26.8% of total)ival-add: 1.0ms (13.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (- 1 x) (* y (sqrt x)))> |
#<alt (- 1 x)> |
#<alt (* y (sqrt x))> |
#<alt (sqrt x)> |
| Outputs |
|---|
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | x | @ | 0 | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | x | @ | inf | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | y | @ | 0 | (+ (- 1 x) (* y (sqrt x))) |
| 0.0ms | y | @ | inf | (+ (- 1 x) (* y (sqrt x))) |
| 1× | batch-egg-rewrite |
| 6 324× | accelerator-lowering-fma.f32 |
| 6 324× | accelerator-lowering-fma.f64 |
| 4 236× | *-lowering-*.f32 |
| 4 236× | *-lowering-*.f64 |
| 2 084× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 42 | 17 |
| 2 | 353 | 17 |
| 3 | 5351 | 17 |
| 0 | 9013 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (- 1 x) (* y (sqrt x))) |
(- 1 x) |
(* y (sqrt x)) |
(sqrt x) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) |
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))) |
(-.f64 (fma.f64 y (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 (fma.f64 y (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) y (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (exp.f64 (log.f64 y)) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 y y)))) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (log1p.f64 (fma.f64 x x x)))) |
(/.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (exp.f64 (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 x x x)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))))) |
(*.f64 (exp.f64 (log1p.f64 (*.f64 x (neg.f64 x)))) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 y (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) y) |
(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 y))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) |
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 x)) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(sqrt.f64 x) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 7 542× | accelerator-lowering-fma.f32 |
| 7 542× | accelerator-lowering-fma.f64 |
| 2 696× | *-lowering-*.f32 |
| 2 696× | *-lowering-*.f64 |
| 1 866× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 369 |
| 1 | 141 | 369 |
| 2 | 438 | 357 |
| 3 | 1298 | 357 |
| 4 | 4657 | 357 |
| 5 | 7379 | 357 |
| 0 | 8084 | 330 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
Compiled 7 322 to 720 computations (90.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 315 | 9 | 324 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 316 | 9 | 325 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ▶ | 94.3% | (fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 71.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) | |
| 99.9% | (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) | |
| ▶ | 63.2% | (-.f64 #s(literal 1 binary64) x) |
| ▶ | 99.9% | (+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
| ▶ | 99.9% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 x #s(literal 1/2 binary64)))) |
| 39.2% | (*.f64 (sqrt.f64 x) y) | |
| 59.8% | (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
Compiled 168 to 116 computations (31% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 y (sqrt.f64 x) (neg.f64 x)) |
| ✓ | cost-diff | 128 | (+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 5824 | (pow.f64 x #s(literal 1/2 binary64)) |
| 928× | accelerator-lowering-fma.f32 |
| 928× | accelerator-lowering-fma.f64 |
| 416× | *-lowering-*.f32 |
| 416× | *-lowering-*.f64 |
| 240× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 89 |
| 1 | 50 | 89 |
| 2 | 93 | 89 |
| 3 | 147 | 89 |
| 4 | 269 | 89 |
| 5 | 453 | 89 |
| 6 | 818 | 89 |
| 7 | 1007 | 89 |
| 8 | 1079 | 89 |
| 9 | 1092 | 89 |
| 10 | 1099 | 89 |
| 11 | 1104 | 89 |
| 12 | 1105 | 89 |
| 0 | 1105 | 83 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (- 1 x) (* y (pow x 1/2))) |
(- 1 x) |
1 |
x |
(* y (pow x 1/2)) |
y |
(pow x 1/2) |
1/2 |
(- 1 x) |
1 |
x |
(+ (* (sqrt x) y) 1) |
(sqrt x) |
x |
y |
1 |
(+ (+ (* y (sqrt x)) (neg x)) 1) |
(+ (* y (sqrt x)) (neg x)) |
y |
(sqrt x) |
x |
(neg x) |
1 |
(+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
x |
(+ (* y (sqrt (/ 1 x))) -1) |
y |
(sqrt (/ 1 x)) |
(/ 1 x) |
1 |
-1 |
| Outputs |
|---|
(+ (- 1 x) (* y (pow x 1/2))) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* y (pow x 1/2)) |
(*.f64 y (sqrt.f64 x)) |
y |
(pow x 1/2) |
(sqrt.f64 x) |
1/2 |
#s(literal 1/2 binary64) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(+ (* (sqrt x) y) 1) |
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
1 |
#s(literal 1 binary64) |
(+ (+ (* y (sqrt x)) (neg x)) 1) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(+ (* y (sqrt x)) (neg x)) |
(fma.f64 y (sqrt.f64 x) (neg.f64 x)) |
y |
(sqrt x) |
(sqrt.f64 x) |
x |
(neg x) |
(neg.f64 x) |
1 |
#s(literal 1 binary64) |
(+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(+ (* y (sqrt (/ 1 x))) -1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
y |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
-1 |
#s(literal -1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 94.3% | (fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 99.8% | (fma.f64 y (sqrt.f64 x) (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (pow.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 y (pow.f64 x #s(literal 1/2 binary64))) |
| 37.0ms | 256× | 0 | valid |
Compiled 90 to 22 computations (75.6% saved)
ival-add: 6.0ms (25% of total)ival-mult: 6.0ms (25% of total)ival-div: 5.0ms (20.8% of total)ival-sqrt: 4.0ms (16.7% of total)ival-sub: 2.0ms (8.3% of total)ival-neg: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow x 1/2)> |
#<alt (+ (- 1 x) (* y (pow x 1/2)))> |
#<alt (- 1 x)> |
#<alt (* y (pow x 1/2))> |
#<alt (+ (* (sqrt x) y) 1)> |
#<alt (sqrt x)> |
#<alt (+ (+ (* y (sqrt x)) (neg x)) 1)> |
#<alt (+ (* y (sqrt x)) (neg x))> |
#<alt (neg x)> |
#<alt (+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1)> |
#<alt (+ (* y (sqrt (/ 1 x))) -1)> |
#<alt (sqrt (/ 1 x))> |
#<alt (/ 1 x)> |
| Outputs |
|---|
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* (sqrt x) y)> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))> |
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))> |
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))> |
#<alt (* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))> |
#<alt -1> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)> |
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)> |
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) y) 1)> |
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)> |
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)> |
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)> |
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
| 1.0ms | x | @ | -inf | (pow x 1/2) |
| 1.0ms | x | @ | -inf | (+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
| 1.0ms | y | @ | 0 | (+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
| 0.0ms | y | @ | -inf | (+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
| 1× | batch-egg-rewrite |
| 4 820× | accelerator-lowering-fma.f32 |
| 4 820× | accelerator-lowering-fma.f64 |
| 3 584× | /-lowering-/.f32 |
| 3 584× | /-lowering-/.f64 |
| 3 452× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 64 |
| 1 | 156 | 61 |
| 2 | 1190 | 61 |
| 0 | 8955 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 1/2) |
(+ (- 1 x) (* y (pow x 1/2))) |
(- 1 x) |
(* y (pow x 1/2)) |
(+ (* (sqrt x) y) 1) |
(sqrt x) |
(+ (+ (* y (sqrt x)) (neg x)) 1) |
(+ (* y (sqrt x)) (neg x)) |
(neg x) |
(+ (* x (+ (* y (sqrt (/ 1 x))) -1)) 1) |
(+ (* y (sqrt (/ 1 x))) -1) |
(sqrt (/ 1 x)) |
(/ 1 x) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(sqrt.f64 x) |
(sqrt.f64 (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 x)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (neg.f64 x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) |
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) |
(+.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))) |
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) |
(-.f64 (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))))) (/.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))) (/.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 x))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))) |
(fma.f64 x (/.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 x (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 x) y (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x (+.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 x)) x)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x (*.f64 y y) (*.f64 (*.f64 y (sqrt.f64 x)) x)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))) (neg.f64 x)) |
(fma.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 y (sqrt.f64 x))))) (neg.f64 x)) |
(fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))))) |
(fma.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (neg.f64 x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 y y) (fma.f64 x x (*.f64 (*.f64 y (sqrt.f64 x)) x))))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (sqrt.f64 x) x))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) (neg.f64 x)) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))) (neg.f64 x)) |
(fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 y (sqrt.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) (neg.f64 x)) |
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 x)) y (+.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y y) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))) (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))))))) |
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(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 y y) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))))) |
(*.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))))) |
(*.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))))) |
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) |
(*.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 y y))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (neg.f64 x))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) (-.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x)))))) |
(+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) |
(+.f64 (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) (/.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) |
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) x) (neg.f64 (/.f64 y (sqrt.f64 x))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x)))) (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) x) (neg.f64 (/.f64 y (sqrt.f64 x)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x))))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) x) (neg.f64 (/.f64 y (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 y y) x) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) x) (neg.f64 (/.f64 y (sqrt.f64 x))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sqrt.f64 x)))))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 y (sqrt.f64 x))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(pow.f64 x #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
| 1× | egg-herbie |
| 10 508× | accelerator-lowering-fma.f32 |
| 10 508× | accelerator-lowering-fma.f64 |
| 4 546× | *-lowering-*.f32 |
| 4 546× | *-lowering-*.f64 |
| 2 310× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1513 |
| 1 | 266 | 1423 |
| 2 | 729 | 1403 |
| 3 | 1865 | 1403 |
| 4 | 4760 | 1403 |
| 0 | 9121 | 1283 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
1 |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* (sqrt x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 x) |
(- (* (sqrt x) y) x) |
(- (* (sqrt x) y) x) |
(- (* (sqrt x) y) x) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(+ 1 (* -1 x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
-1 |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(* (sqrt (/ 1 x)) y) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(* (sqrt (/ 1 x)) y) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(* (sqrt (/ 1 x)) y) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) y) 1) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)) |
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y)))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* y (- (sqrt (/ 1 x)) (/ 1 y))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y)))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 y (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 y (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) |
(/ (+ (* -1 x) (* (sqrt x) y)) x) |
(fma.f64 y (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) y) 1) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) |
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y) #s(literal -1 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Compiled 25 708 to 1 667 computations (93.5% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 260 | 6 | 1 266 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 264 | 11 | 1 275 |
| Status | Accuracy | Program |
|---|---|---|
| 66.2% | (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) | |
| ▶ | 71.7% | (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
| ▶ | 68.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) #s(literal 1 binary64)) |
| ✓ | 71.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ▶ | 99.9% | (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
| ✓ | 63.2% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | 99.9% | (+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
| ▶ | 35.0% | (+.f64 x #s(literal 1 binary64)) |
| 39.2% | (*.f64 (sqrt.f64 x) y) | |
| 28.9% | (neg.f64 x) | |
| ▶ | 35.0% | #s(literal 1 binary64) |
Compiled 134 to 94 computations (29.9% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | cost-diff | 320 | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 x (sqrt.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
| 624× | accelerator-lowering-fma.f32 |
| 624× | accelerator-lowering-fma.f64 |
| 352× | *-lowering-*.f32 |
| 352× | *-lowering-*.f64 |
| 196× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 1 | 35 | 62 |
| 2 | 62 | 62 |
| 3 | 102 | 62 |
| 4 | 149 | 62 |
| 5 | 219 | 62 |
| 6 | 352 | 62 |
| 7 | 450 | 62 |
| 8 | 625 | 62 |
| 9 | 876 | 62 |
| 10 | 920 | 62 |
| 11 | 969 | 62 |
| 12 | 995 | 62 |
| 13 | 1002 | 62 |
| 0 | 1002 | 58 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (+ (* (sqrt x) y) 1) x) |
(+ (* (sqrt x) y) 1) |
(sqrt x) |
x |
y |
1 |
1 |
(+ x 1) |
x |
1 |
(+ (* (/ x (sqrt x)) y) 1) |
(/ x (sqrt x)) |
x |
(sqrt x) |
y |
1 |
(+ (* (/ 1 (sqrt x)) (* y x)) 1) |
(/ 1 (sqrt x)) |
1 |
(sqrt x) |
x |
(* y x) |
y |
| Outputs |
|---|
(- (+ (* (sqrt x) y) 1) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ (* (sqrt x) y) 1) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(+ (* (/ x (sqrt x)) y) 1) |
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) |
(/ x (sqrt x)) |
(/.f64 x (sqrt.f64 x)) |
x |
(sqrt x) |
(sqrt.f64 x) |
y |
1 |
#s(literal 1 binary64) |
(+ (* (/ 1 (sqrt x)) (* y x)) 1) |
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) |
(/ 1 (sqrt x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
1 |
#s(literal 1 binary64) |
(sqrt x) |
(sqrt.f64 x) |
x |
(* y x) |
(*.f64 x y) |
y |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
| ✓ | accuracy | 96.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
| ✓ | accuracy | 99.2% | (/.f64 x (sqrt.f64 x)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
| ✓ | accuracy | 99.9% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| 31.0ms | 256× | 0 | valid |
Compiled 62 to 17 computations (72.6% saved)
ival-mult: 7.0ms (34.9% of total)ival-add: 4.0ms (20% of total)ival-sqrt: 4.0ms (20% of total)ival-div: 3.0ms (15% of total)ival-sub: 1.0ms (5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (+ (* (sqrt x) y) 1) x)> |
#<alt (+ (* (sqrt x) y) 1)> |
#<alt (sqrt x)> |
#<alt (+ x 1)> |
#<alt (+ (* (/ x (sqrt x)) y) 1)> |
#<alt (/ x (sqrt x))> |
#<alt (+ (* (/ 1 (sqrt x)) (* y x)) 1)> |
#<alt (/ 1 (sqrt x))> |
#<alt (* y x)> |
| Outputs |
|---|
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* y (+ (sqrt x) (/ 1 y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (+ (* (/ 1 (sqrt x)) (* y x)) 1) |
| 2.0ms | x | @ | -inf | (+ (* (/ x (sqrt x)) y) 1) |
| 1.0ms | x | @ | -inf | (/ x (sqrt x)) |
| 0.0ms | y | @ | inf | (* y x) |
| 0.0ms | x | @ | inf | (* y x) |
| 1× | batch-egg-rewrite |
| 8 700× | accelerator-lowering-fma.f32 |
| 8 700× | accelerator-lowering-fma.f64 |
| 4 458× | *-lowering-*.f32 |
| 4 458× | *-lowering-*.f64 |
| 3 180× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 40 |
| 1 | 102 | 39 |
| 2 | 818 | 39 |
| 0 | 9182 | 35 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* (sqrt x) y) 1) x) |
(+ (* (sqrt x) y) 1) |
(sqrt x) |
(+ x 1) |
(+ (* (/ x (sqrt x)) y) 1) |
(/ x (sqrt x)) |
(+ (* (/ 1 (sqrt x)) (* y x)) 1) |
(/ 1 (sqrt x)) |
(* y x) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(+.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) y))) |
(+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) |
(+.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(+.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (+.f64 x (*.f64 x (fma.f64 (sqrt.f64 x) y x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (+.f64 x (*.f64 x (fma.f64 (sqrt.f64 x) y x))))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))) |
(+.f64 (+.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) x)) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (+.f64 x (*.f64 x (fma.f64 (sqrt.f64 x) y x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (+.f64 x (*.f64 x (fma.f64 (sqrt.f64 x) y x)))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 y (*.f64 x y)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (+.f64 (neg.f64 x) (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
(fma.f64 x #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 x (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (/.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 x)) |
(fma.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 x) x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))) (neg.f64 x)) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x))))) (neg.f64 x)) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (+.f64 x (*.f64 x (fma.f64 (sqrt.f64 x) y x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (+.f64 x (*.f64 x (fma.f64 (sqrt.f64 x) y x))))))) |
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))) |
(fma.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 x)) |
(fma.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y (*.f64 x y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)))) (neg.f64 x)) |
(fma.f64 (neg.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) #s(literal 1 binary64))) (neg.f64 x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (neg.f64 x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))) (neg.f64 x)) |
(fma.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x y) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 x y) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x y) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (*.f64 x (*.f64 x (neg.f64 x)))) (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (+.f64 x (*.f64 x (fma.f64 (sqrt.f64 x) y x))))))) |
(neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (neg.f64 (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (*.f64 x (*.f64 x (neg.f64 x))))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (+.f64 x (*.f64 x (fma.f64 (sqrt.f64 x) y x)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))) (fma.f64 x (*.f64 (*.f64 y y) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 x) (neg.f64 y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 y (*.f64 x y)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 x y) (sqrt.f64 x)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y (*.f64 x y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 y (*.f64 x y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 x y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sqrt.f64 x) x) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64))) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))) |
(/.f64 x (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x y)))) |
(/.f64 x (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x y)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 x y))) |
(/.f64 y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x y)) (/.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 x y) #s(literal 1 binary64)) |
(/.f64 (*.f64 x y) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (*.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x y)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (*.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x)) |
(/.f64 (*.f64 y (neg.f64 x)) (*.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 y (neg.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 y (neg.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 y (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) x))) |
(/.f64 (*.f64 x (*.f64 x y)) x) |
(/.f64 (*.f64 x (*.f64 y (neg.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 y (neg.f64 x))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 y (neg.f64 x))) x) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 (*.f64 y (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 (*.f64 x y) x) x) |
(/.f64 (*.f64 (*.f64 x y) (neg.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (*.f64 y (neg.f64 x)) x) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 y (neg.f64 x)) (neg.f64 x)) x) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(*.f64 x y) |
(*.f64 x (/.f64 (*.f64 x y) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y)) |
(*.f64 y x) |
(*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x (*.f64 (sqrt.f64 x) y))) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 (*.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (*.f64 x (sqrt.f64 x))) |
(*.f64 (*.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 x) y))) |
(*.f64 (/.f64 (*.f64 x y) x) x) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) (*.f64 x y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 7 684× | accelerator-lowering-fma.f32 |
| 7 684× | accelerator-lowering-fma.f64 |
| 2 852× | *-lowering-*.f32 |
| 2 852× | *-lowering-*.f64 |
| 1 408× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 916 |
| 1 | 182 | 874 |
| 2 | 526 | 868 |
| 3 | 1359 | 868 |
| 4 | 4070 | 868 |
| 5 | 6855 | 868 |
| 0 | 8020 | 784 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
1 |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* (sqrt x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* (sqrt x) y) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
1 |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* (sqrt x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(* (sqrt x) y) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
1 |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(+ 1 (* (sqrt x) y)) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* y (+ (sqrt x) (/ 1 y))) |
(* (sqrt x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* y (+ (sqrt x) (/ 1 y))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
Compiled 13 091 to 1 177 computations (91% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 835 | 3 | 838 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 837 | 12 | 849 |
| Status | Accuracy | Program |
|---|---|---|
| 66.2% | (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) | |
| ✓ | 71.7% | (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
| ✓ | 68.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) #s(literal 1 binary64)) |
| ▶ | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | 71.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ▶ | 65.4% | (-.f64 (*.f64 (sqrt.f64 x) y) x) |
| ✓ | 63.2% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | 35.0% | (+.f64 x #s(literal 1 binary64)) |
| ▶ | 39.2% | (*.f64 (sqrt.f64 x) y) |
| ▶ | 28.9% | (neg.f64 x) |
| ▶ | 3.2% | x |
| ✓ | 35.0% | #s(literal 1 binary64) |
Compiled 118 to 81 computations (31.4% saved)
| 1× | egg-herbie |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 x) y) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 x) y) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (sqrt.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 336× | accelerator-lowering-fma.f32 |
| 336× | accelerator-lowering-fma.f64 |
| 144× | *-lowering-*.f32 |
| 144× | *-lowering-*.f64 |
| 112× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 20 | 42 |
| 2 | 32 | 42 |
| 3 | 56 | 42 |
| 4 | 95 | 42 |
| 5 | 189 | 42 |
| 6 | 288 | 42 |
| 7 | 393 | 42 |
| 8 | 434 | 42 |
| 9 | 454 | 42 |
| 0 | 454 | 41 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (sqrt x) y) (- 1 x)) |
(sqrt x) |
x |
y |
(- 1 x) |
1 |
x |
(neg x) |
x |
(* (sqrt x) y) |
(sqrt x) |
x |
y |
(- (* (sqrt x) y) x) |
(* (sqrt x) y) |
(sqrt x) |
x |
y |
| Outputs |
|---|
(+ (* (sqrt x) y) (- 1 x)) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(neg x) |
(neg.f64 x) |
x |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
(- (* (sqrt x) y) x) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(sqrt x) |
(sqrt.f64 x) |
x |
y |
Found 9 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 (sqrt.f64 x) y) x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 x) y) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 x) |
| ✓ | accuracy | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 18.0ms | 256× | 0 | valid |
Compiled 43 to 11 computations (74.4% saved)
ival-sub: 2.0ms (22.8% of total)ival-mult: 2.0ms (22.8% of total)ival-sqrt: 2.0ms (22.8% of total)ival-add: 1.0ms (11.4% of total)ival-neg: 1.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (sqrt x) y) (- 1 x))> |
#<alt (sqrt x)> |
#<alt (- 1 x)> |
#<alt (neg x)> |
#<alt (* (sqrt x) y)> |
#<alt (- (* (sqrt x) y) x)> |
| Outputs |
|---|
#<alt (+ 1 (* (sqrt x) y))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (- (+ 1 (* (sqrt x) y)) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (* (sqrt x) y)> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (+ (* -1 x) (* (sqrt x) y))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))> |
#<alt (* -1 x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (- (* (sqrt x) y) x)> |
#<alt (* (sqrt x) y)> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))> |
#<alt (* (sqrt x) y)> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (* (sqrt x) y) (- 1 x)) |
| 0.0ms | x | @ | 0 | (- 1 x) |
| 0.0ms | x | @ | -inf | (+ (* (sqrt x) y) (- 1 x)) |
| 0.0ms | x | @ | inf | (+ (* (sqrt x) y) (- 1 x)) |
| 0.0ms | x | @ | -inf | (- (* (sqrt x) y) x) |
| 1× | batch-egg-rewrite |
| 7 614× | accelerator-lowering-fma.f32 |
| 7 614× | accelerator-lowering-fma.f64 |
| 4 302× | *-lowering-*.f32 |
| 4 302× | *-lowering-*.f64 |
| 2 974× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 55 | 25 |
| 2 | 455 | 25 |
| 3 | 6793 | 25 |
| 0 | 8439 | 24 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (sqrt x) y) (- 1 x)) |
(sqrt x) |
(- 1 x) |
(neg x) |
(* (sqrt x) y) |
(- (* (sqrt x) y) x) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) |
(+.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 (/.f64 (*.f64 x (*.f64 y y)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(+.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 0 binary64)) (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (sqrt.f64 x) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y))) |
(-.f64 (/.f64 (*.f64 x (*.f64 y y)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) |
(-.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (fma.f64 (sqrt.f64 x) y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 (fma.f64 (sqrt.f64 x) y (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) y x))) |
(fma.f64 x #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 x (/.f64 (*.f64 y y) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (/.f64 (*.f64 x y) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 x) y) (/.f64 (*.f64 (sqrt.f64 x) y) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y)))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) y)) (*.f64 x (*.f64 y y)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y))) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y))))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y))) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y)))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 #s(literal -1 binary64) x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (sqrt.f64 x) y x) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y))))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) y x))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (fma.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (*.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 y y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))) (neg.f64 x)) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 x (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (neg.f64 x)) |
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y y) (/.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 y (*.f64 (sqrt.f64 x) y)) (/.f64 (sqrt.f64 x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 x y) (/.f64 y (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) |
(fma.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))))) |
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(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y)))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 y y)) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x (fma.f64 (sqrt.f64 x) y x)) (*.f64 x (*.f64 (fma.f64 (sqrt.f64 x) y x) (*.f64 x (fma.f64 (sqrt.f64 x) y x))))))) (fma.f64 (*.f64 x (fma.f64 (sqrt.f64 x) y x)) (-.f64 (*.f64 x (fma.f64 (sqrt.f64 x) y x)) (*.f64 x (*.f64 y y))) (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 y y))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 (sqrt.f64 x) y x) (*.f64 x (*.f64 y y))) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x (fma.f64 (sqrt.f64 x) y x))))) (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x (fma.f64 (sqrt.f64 x) y x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 y y)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 y y))))) (fma.f64 x (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 x) y))))) |
| 1× | egg-herbie |
| 6 128× | accelerator-lowering-fma.f32 |
| 6 128× | accelerator-lowering-fma.f64 |
| 2 782× | *-lowering-*.f32 |
| 2 782× | *-lowering-*.f64 |
| 1 836× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 559 |
| 1 | 167 | 559 |
| 2 | 514 | 547 |
| 3 | 1407 | 547 |
| 4 | 3491 | 547 |
| 5 | 6149 | 547 |
| 0 | 8145 | 512 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* (sqrt x) y)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(- 1 x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(* (sqrt x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(* (sqrt x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(+ (* -1 x) (* (sqrt x) y)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(* -1 x) |
(- (* (sqrt x) y) x) |
(- (* (sqrt x) y) x) |
(- (* (sqrt x) y) x) |
(* (sqrt x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(* (sqrt x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
| Outputs |
|---|
(+ 1 (* (sqrt x) y)) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ (* -1 x) (* (sqrt x) y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (* (sqrt x) y)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y))))) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(+ (* -1 x) (* (sqrt x) y)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* x (- (* (sqrt (/ 1 x)) y) 1)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(- (* (sqrt x) y) x) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* y (+ (sqrt x) (* -1 (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* (sqrt x) y) |
(*.f64 (sqrt.f64 x) y) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y)))) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
Compiled 11 782 to 985 computations (91.6% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 584 | 1 | 585 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 585 | 12 | 597 |
| Status | Accuracy | Program |
|---|---|---|
| 66.2% | (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) | |
| ✓ | 71.7% | (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
| ✓ | 68.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) #s(literal 1 binary64)) |
| ✓ | 99.9% | (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
| 65.4% | (fma.f64 (sqrt.f64 x) y (neg.f64 x)) | |
| ✓ | 71.8% | (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| ✓ | 63.2% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | 35.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | 39.2% | (*.f64 (sqrt.f64 x) y) |
| ✓ | 28.9% | (neg.f64 x) |
| ✓ | 3.2% | x |
| ✓ | 35.0% | #s(literal 1 binary64) |
Compiled 204 to 93 computations (54.4% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
(+.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)) |
(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 x #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
3 calls:
| 8.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
| Outputs |
|---|
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
3 calls:
| 5.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 x) y (neg.f64 x)) |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 3.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | x |
| 98.7% | 4 | y |
| 98.4% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 (*.f64 (sqrt.f64 x) y) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) |
3 calls:
| 10.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 3 | y |
| 84.9% | 3 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 83.7% | 2 | x |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
| Outputs |
|---|
(*.f64 (sqrt.f64 x) y) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (sqrt.f64 x) y) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) x) |
3 calls:
| 4.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 63.2% | 1 | x |
| 63.2% | 1 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(neg.f64 x) |
(+.f64 x #s(literal 1 binary64)) |
3 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 2 | x |
| 39.6% | 3 | y |
| 62.6% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(neg.f64 x) |
| Outputs |
|---|
(neg.f64 x) |
#s(literal 1 binary64) |
1 calls:
| 2.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 2 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 10 to 7 computations (30% saved)
Total -20.5b remaining (-49.2%)
Threshold costs -20.5b (-49.2%)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
| Outputs |
|---|
#s(literal 1 binary64) |
3 calls:
| 3.0ms | y |
| 1.0ms | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.0% | 1 | y |
| 35.0% | 1 | x |
| 35.0% | 1 | (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) |
Compiled 16 to 11 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.11753418502743809 | 0.1216305380399582 |
| 1.0ms | 16× | 0 | valid |
Compiled 30 to 24 computations (20% saved)
ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.11753418502743809 | 0.1216305380399582 |
| 1.0ms | 16× | 0 | valid |
Compiled 30 to 24 computations (20% saved)
ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.051531101611092e+55 | 8.44954258286479e+65 |
| 13.0ms | -4.5578698096859054e+20 | -9138447720431408.0 |
| 13.0ms | 288× | 0 | valid |
Compiled 265 to 210 computations (20.8% saved)
ival-sub: 2.0ms (28.8% of total)ival-mult: 2.0ms (28.8% of total)ival-sqrt: 2.0ms (28.8% of total)ival-add: 1.0ms (14.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.051531101611092e+55 | 8.44954258286479e+65 |
| 17.0ms | -4.068188330020896e+113 | -2.7583972090878516e+98 |
| 20.0ms | 320× | 0 | valid |
Compiled 273 to 212 computations (22.3% saved)
ival-sqrt: 7.0ms (56.5% of total)ival-sub: 2.0ms (16.1% of total)ival-mult: 2.0ms (16.1% of total)ival-add: 1.0ms (8.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -16127.980290869791 | 0.8824658149725619 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -16127.980290869791 | 0.8824658149725619 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 4× | if-if-or-not_binary32 |
| 2× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 111 |
| 1 | 54 | 111 |
| 2 | 59 | 111 |
| 3 | 60 | 111 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) |
(if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(if (<=.f64 y #s(literal -1020000000000000000 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 70000000000000002077584159112352434327629146674346065920 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -310000000000000019014245712662110358685283889952815796240670737418194531012921783492273637299322880 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 290000000000000007051557838969741394953322545105636163584 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) |
(-.f64 #s(literal 1 binary64) x) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -10000 binary64)) (neg.f64 x) (+.f64 x #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -10000 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) |
(if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y (neg.f64 x))) |
(if (<=.f64 x #s(literal 1080863910568919/9007199254740992 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) x)) |
(if (<=.f64 y #s(literal -1020000000000000000 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 70000000000000002077584159112352434327629146674346065920 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -310000000000000019014245712662110358685283889952815796240670737418194531012921783492273637299322880 binary64)) (*.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 290000000000000007051557838969741394953322545105636163584 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) |
(-.f64 #s(literal 1 binary64) x) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -10000 binary64)) (neg.f64 x) (+.f64 x #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -10000 binary64)) (neg.f64 x) (+.f64 x #s(literal 1 binary64))) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -10000 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -10000 binary64)) (neg.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 10 508× | accelerator-lowering-fma.f32 |
| 10 508× | accelerator-lowering-fma.f64 |
| 8 700× | accelerator-lowering-fma.f32 |
| 8 700× | accelerator-lowering-fma.f64 |
| 7 684× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 916 |
| 1 | 182 | 874 |
| 2 | 526 | 868 |
| 3 | 1359 | 868 |
| 4 | 4070 | 868 |
| 5 | 6855 | 868 |
| 0 | 8020 | 784 |
| 0 | 22 | 64 |
| 1 | 156 | 61 |
| 2 | 1190 | 61 |
| 0 | 8955 | 57 |
| 0 | 15 | 40 |
| 1 | 102 | 39 |
| 2 | 818 | 39 |
| 0 | 9182 | 35 |
| 0 | 9 | 25 |
| 1 | 55 | 25 |
| 2 | 455 | 25 |
| 3 | 6793 | 25 |
| 0 | 8439 | 24 |
| 0 | 52 | 369 |
| 1 | 141 | 369 |
| 2 | 438 | 357 |
| 3 | 1298 | 357 |
| 4 | 4657 | 357 |
| 5 | 7379 | 357 |
| 0 | 8084 | 330 |
| 0 | 89 | 1513 |
| 1 | 266 | 1423 |
| 2 | 729 | 1403 |
| 3 | 1865 | 1403 |
| 4 | 4760 | 1403 |
| 0 | 9121 | 1283 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 244 to 128 computations (47.5% saved)
Compiled 260 to 82 computations (68.5% saved)
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